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Finding the Third Proportional to 633,840 and 1,381,408

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Solution

The third proportional to 633,840 and 1,381,408 is: 3,010,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,840 : 1,381,408 = 1,381,408 : x
  2. Step 2: Convert to fraction form
    633,840/1,381,408 = 1,381,408/x
  3. Step 3: Cross multiply
    633,840x = 1,381,408 × 1,381,408
  4. Step 4: Simplify right side
    633,840x = 1,908,288,062,464
  5. Step 5: Solve for x
    x = 1,908,288,062,464/633,840
  6. Step 6: Final answer
    x = 3,010,677.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.